Mathematics – Optimization and Control
Scientific paper
2008-06-15
Mathematics
Optimization and Control
28 pages, 2 figures
Scientific paper
Stochastic games are an important class of problems that generalize Markov decision processes to game theoretic scenarios. We consider finite state two-player zero-sum stochastic games over an infinite time horizon with discounted rewards. The players are assumed to have infinite strategy spaces and the payoffs are assumed to be polynomials. In this paper we restrict our attention to a special class of games for which the single-controller assumption holds. It is shown that minimax equilibria and optimal strategies for such games may be obtained via semidefinite programming.
Parrilo Pablo A.
Shah Parikshit
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